东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2010, Vol. 31 ›› Issue (8): 1065-1069.DOI: -

• 论著 •    下一篇

一类时滞加权动态复杂网络的牵制同步

郑海青;井元伟;刘晓平;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-20 修回日期:2013-06-20 出版日期:2010-08-15 发布日期:2013-06-20
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274099);;

Pinning synchronization of a class of weighted complex dynamical networks with time delay

Zheng, Hai-Qing (1); Jing, Yuan-Wei (1); Liu, Xiao-Ping (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-20 Revised:2013-06-20 Online:2010-08-15 Published:2013-06-20
  • Contact: Zheng, H.-Q.
  • About author:-
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摘要： 针对一类由Lur’e系统组成的动态复杂网络,研究其同步问题.对具有大规模节点网络中的小部分节点实施反馈控制策略,从而使整个加权时滞网络的所有节点均达到同步.基于绝对稳定性理论,分别得到了保证网络达到全局同步的时滞独立及时滞依赖稳定性判据.特别地,在某些特殊情况下,只对网络中的一个节点实施牵制控制,就可使整个网络达到同步.最后,数值仿真验证了结论的有效性.

关键词: 动态复杂网络, 同步, Lur’e系统, 绝对稳定, 牵制控制, 耦合时滞

Abstract: The problem of global synchronization was studied for a class of complex dynamical networks composed of Lur'e systems. With the feedback strategy applied to a small part of the nodes in a large-size network, all the nodes in the whole weighted time-delay network become synchronous. Based on the absolute stability theory, the delay-independent and delay-dependent asymptotical stability criteria are derived separately to ensure the global synchronization of a network. In some particular cases, the synchronization of whole network is available only if pinning the control on a single node in the network. Numerical simulation results verified the effectiveness of the conclusion as above.

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